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The values of k for which the expression...

The values of `k` for which the expression `kx^2 + (k + 1)x + 2` will be a perfect square of linear factor are (i) `3+-2sqrt2` (ii)`4+-2sqrt2` (iii)`6` (iv) `5`

A

`3 + 2sqrt2`

B

`3 - 3sqrt2`

C

`3 + 3sqrt2`

D

`3 - 2sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
A, D
`D = 0 rArr (k + 1)^(2) - 8 k = 0`
`k^(2) - 6k + 1 = 0`
`k = (6-+sqrt(36 - 4))/(2) = 3 + 2 sqrt(2)`
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